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Finding the Fourth Proportional to 592.54, 888.48 and 407.66

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Solution

The fourth proportional to 592.54, 888.48 and 407.66 is: 611.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.54 : 888.48 = 407.66 : x
  2. Step 2: Convert to fraction form
    592.54/888.48 = 407.66/x
  3. Step 3: Cross multiply
    592.54x = 888.48 × 407.66
  4. Step 4: Simplify right side
    592.54x = 362,193.31
  5. Step 5: Solve for x
    x = 362,193.31/592.54
  6. Step 6: Final answer
    x = 611.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.